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math.GR2020
On the maximal number of elements pairwise generating the symmetric group of even degree
Francesco Fumagalli, Martino Garonzi, Attila Maróti
Let be the symmetric group of degree . Let be the maximal size of a subset of such that whenever and and let…
math.GR2020
Alternating groups as products of four conjugacy classes
Martino Garonzi, Attila Maróti
Let be the alternating group $\mbox{Alt}(n)$ on letters. We prove that for any there exists such that whenever $n \geq…
math.GR2020
Bounding the number of classes of a finite group in terms of a prime
Attila Maróti, Iulian I. Simion
Héthelyi and Külshammer showed that the number of conjugacy classes of any solvable finite group whose order is divisible by the square of a prime is at least $(49p+…